Recommend a good book on complex analysis?

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Discussion Overview

The discussion revolves around recommendations for books on complex analysis, particularly for self-study purposes. Participants share their personal preferences and experiences with various texts, considering the needs of someone with a background in Electrical Engineering and an interest in signal processing.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses a desire for a good self-study book on complex analysis, citing a background in Electrical Engineering and previous coursework.
  • Another participant claims that almost all books on complex analysis are good.
  • A specific recommendation is made for "An Invitation to Complex Analysis" by Ralph Boas.
  • Some participants express preferences for various authors and titles, including Ahlfors, Lang, Cartan, Hille, and others, indicating a range of opinions on the best texts.
  • One participant mentions a book by Erwin Kreyszig as suitable for self-study.
  • Discussion includes a reference to a book by Courant, with mixed feelings about its quality.
  • Another participant notes that many books on complex analysis are well-written, suggesting that the subject is generally easy to explain.
  • Tristan Needham's "Visual Complex Analysis" is highlighted as a good option for those who appreciate visual representations of mathematics.
  • A participant shares their experience with Boas, noting its terseness but also its suitability for self-study due to detailed answers for problem sets.

Areas of Agreement / Disagreement

Participants express a variety of opinions on specific books and authors, with no clear consensus on a single recommended text. Some participants agree that many books are well-written, while others have differing preferences.

Contextual Notes

Some recommendations are based on personal experiences, and the discussion reflects a range of levels of familiarity with the texts mentioned. Specific preferences may depend on individual learning styles and backgrounds.

wildman
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I am studying signal processing. I took a class last year but don't have a class now (it is very part time) and would like to do some self study. I did alright in my last class but feel that my appreciation of it would have been greater if I had a better background in complex analysis. Could someone recommend a good book on complex analysis for self study for someone with a degree in Electrical Engineering?
 
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almost all books on complex analysis are good ones.
 
I personally like "An Invitation to Complex Analysis" by Ralph Boas.
 
my least favorite is the most famous, i.e. ahlfors. i like lang, cartan, hille, dettman?, silverman?, knopp, markushevich, shilov, redheffer, derrick, marsden, churchill,...
 
Last edited:
mathwonk, did you read all of them?

you might be surprised but there's also a book from courant on complex analysis of one variable, it's basically notes from one of his pupils.
 
Hurwitz-Courant?
 
Im using a book by erwin kreyzig... its pretty good for self study...
 
If there really is work by Courant on it, there should be no doubt in your mind that you're done looking.
 
  • #10
i read about half of those and some others, including hormander , gunning and rossi on (several complex variables), kodaira and morrow, wells, griffiths and harris, chern, (complex manifolds),...

my point is that almost all books on complex analysis are well written. it is apparently just an easy subject to explain. but hille and cartan are better than average, and different from the standard ones.
 
  • #11
Tristan Needham "Visual Complex Analysis"

This is definitely a good book, especially if you like seeing math in it's pictorial form.
 
  • #12
I bought a copy of Boas and am working my way through. It is terse, but good. It is a good self study book since there are detailed answers for the problem sets. Thanks all.
 

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